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Finding the Fourth Proportional to 250.46, 346 and 206.78

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Solution

The fourth proportional to 250.46, 346 and 206.78 is: 285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.46 : 346 = 206.78 : x
  2. Step 2: Convert to fraction form
    250.46/346 = 206.78/x
  3. Step 3: Cross multiply
    250.46x = 346 × 206.78
  4. Step 4: Simplify right side
    250.46x = 71,545.88
  5. Step 5: Solve for x
    x = 71,545.88/250.46
  6. Step 6: Final answer
    x = 285.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.